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Finding the Third Proportional to 52,237 and 112,786

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Solution

The third proportional to 52,237 and 112,786 is: 243,518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,237 : 112,786 = 112,786 : x
  2. Step 2: Convert to fraction form
    52,237/112,786 = 112,786/x
  3. Step 3: Cross multiply
    52,237x = 112,786 × 112,786
  4. Step 4: Simplify right side
    52,237x = 12,720,681,796
  5. Step 5: Solve for x
    x = 12,720,681,796/52,237
  6. Step 6: Final answer
    x = 243,518.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.